LAUSR

In this paper, multiple virtual sensors derived from the equations of motion of a flexible dynamics system, are utilized to form a novel virtual sensing system able to estimate the angular and translation velocities. Measuring only the elastic displacement of the flexible body by a strain gauge, angular velocities are estimated by the first virtual sensor composed of a kinetics equation related to the flexibility, and the nonlinear Kalman and particle filters. Moreover, for translational velocities to be also estimated, specific forces are measured by accelerometers. The second virtual sensor including the equation of translational motion, is added to the virtual sensing system, leading not only the velocities to be estimated with high performance but the accumulated errors of the sensors to be corrected.